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Finding the Fourth Proportional to 2,055.15, 3,082.90 and 594.32

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Solution

The fourth proportional to 2,055.15, 3,082.90 and 594.32 is: 891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.15 : 3,082.90 = 594.32 : x
  2. Step 2: Convert to fraction form
    2,055.15/3,082.90 = 594.32/x
  3. Step 3: Cross multiply
    2,055.15x = 3,082.90 × 594.32
  4. Step 4: Simplify right side
    2,055.15x = 1,832,229.13
  5. Step 5: Solve for x
    x = 1,832,229.13/2,055.15
  6. Step 6: Final answer
    x = 891.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.